BCI-代数的滤子

Filters of BCI-algebras

引入了BCI-代数的滤子的概念,讨论了滤子的性质,得到了它与BCK-部分和极小元的分支的关系,还给出了滤子、理想和子代数之间的关系,说明了结合和p-半单BCI-代数中滤子的特性,BCI-代数的滤子与理想具有同等重要的意义.

The concept of filters of BCI-algebras was introduced in this paper,some properties of the filters were discussed and the relationship between the filters,BCK-parts and branch of minimal element were obtained.The relationship between filters and ideals and subalgebras were given.Some characteristics of the filters on association and p-semisimple BCI-algebras were explanined,thus the significance of the filters and ideal of BCI-algebras was equally important.